Contact Information:
Email: cheng_juan@iapcm.ac.cn
Tel: 10-59872082
Education:
Ph.D. in Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics,
Nanjing, China, 2001.
M.S. in Department of Mathematics, Nanjing University of Aeronautics and Astronautics,
Nanjing, China, 1992.
B.S. in Department of Mathematics, Nanjing University, Nanjing, China, 1989.
Research Areas:
Numerical methods for compressible hydrodynamics equations.
Numerical methods for radiation transfer equations.
Numerical methods for radiation hydrodynamics equations
Interested Research Areas in CAPT：
Numerical methods for radiation transfer equations.
ALE methods for compressible hydrodynamics equations.
Grants and Awards：
National Natural Science Foundation of China, 2019-2022
Science Challenge Project, 2016-2018
National Natural Science Foundation of China, 2015-2018
National Natural Science Foundation of China, 2010-2012
National Natural Science Foundation of China, 2006-2008
Associate editor, Journal of Computational Physics, 2014–present
Editor, Mathematica Numerica Sinica, 2014–present
Vice-Chair of the Council, Beijing Society of Computational Mathematics, 2017–present
Member of Committee for Women in CSIAM, 2017-present
Member of Committee of Physical Gas Dynamics, Chinese Society of Aerodynamics, 2018-present.
Second Prize, Science and Technology Innovation Award of China Academy of Engineering Physics，2015
Second Prize, Science and Technology Progress Award of Industrial Ministry of Aerospace, 2009
Selected Publications：
1. D. Ling, J. Cheng, C.-W. Shu, Conservative high order positivity-preserving discontinuous Galerkin methods for linear hyperbolic and radiative transfer equations, Journal of Scientific Computing, 2018, 77, 1801–1831.
2. D. Yuan, J. Cheng, C.-W. Shu, High order positivity-preserving discontinuous Galerkin methods for radiative transfer equations, SIAM Journal of Scientific Computing, 2016, 38(5), A2987-A3019.
3. J. Cheng, C.-W. Shu, Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates, Journal of Computational Physics, 2014, 272, 245-265.
4. J. Cheng, C.-W. Shu, Positivity-preserving Lagrangian scheme for multi-material compressible flow, Journal of Computational Physics, 2014, 257, 143-168.
5. J. Cheng, C.-W. Shu, A Cell-Centered Lagrangian Scheme With the Preservation of Symmetry and Conservation Properties for Compressible Fluid Flows in Two-Dimensional Cylindrical Geometry, Journal of Computational Physics, 2010, 229, 7191-7206.
6. W. Liu, J. Cheng, C.-W. Shu, High Order Conservative Lagrangian Schemes With Lax-Wendroff Type Time Discretization for the Compressible Euler Equations, Journal of Computational Physics, 2009, 228, 8872-8891.
7. J. Cheng, C.-W. Shu, A high Order ENO Conservative Lagrangian Type Scheme for the Compressible Euler Equations, Journal of Computational Physics, 2007, 227, 1567-1596.
Pubilications in past five years：
1. D. Ling, J. Cheng, C.-W. Shu, Conservative high order positivity-preserving discontinuous Galerkin methods for linear hyperbolic and radiative transfer equations, Journal of Scientific Computing, 2018, 77, 1801–1831.
2. D. Ling, J. Cheng, C.-W. Shu, Positivity-preserving and symmetry-preserving Lagrangian schemes for compressible Euler equations in cylindrical coordinates, Computers & Fluids, 2017, 157, 112–130.
3. D. Yuan, J. Cheng, C.-W. Shu, High order positivity-preserving discontinuous Galerkin methods for radiative transfer equations, SIAM Journal of Scientific Computing, 2016, 38(5), A2987-A3019.
4. P. Song, J. Cheng, Construction of geometric partial differential equations in computational geometry spherical-symmetry-preserving discrete ordinates method for the radiation transport equation in two-dimension cylindrical coordinates, Mathematica Numerica Sinica, 2015, 37(3), 299-315.
5. J. Cheng, C.-W. Shu, Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates, Journal of Computational Physics, 2014, 272, 245-265.
6. J. Cheng, C.-W. Shu, Positivity-preserving Lagrangian scheme for multi-material compressible flow, Journal of Computational Physics, 2014, 257, 143-168.
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